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Unimodal kernel density estimation by datra sharpening

Hall, Peter; Kang, K


We discuss a robust data sharpening method for rendering a standard kernel estimator, with a given bandwidth, unimodal. It has theoretical and numerical properties of the type that one would like such a technique to enjoy. In particular, we show theoretically that, with probability converging to 1 as sample size diverges, our technique alters the kernel estimator only in places where the latter has spurious bumps, and is identical to the kernel estimator in places where that estimator is...[Show more]

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
Source: Statistica Sinica


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